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Communications on Pure & Applied Analysis

November 2011 , Volume 10 , Issue 6

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A decomposition theorem for $BV$ functions
Stefano Bianchini and Daniela Tonon
2011, 10(6): 1549-1566 doi: 10.3934/cpaa.2011.10.1549 +[Abstract](1163) +[PDF](417.9KB)
Characterization of the value function of final state constrained control problems with BV trajectories
Ariela Briani and Hasnaa Zidani
2011, 10(6): 1567-1587 doi: 10.3934/cpaa.2011.10.1567 +[Abstract](1001) +[PDF](684.6KB)
Vortex interaction dynamics in trapped Bose-Einstein condensates
Pedro J. Torres, R. Carretero-González, S. Middelkamp, P. Schmelcher, Dimitri J. Frantzeskakis and P.G. Kevrekidis
2011, 10(6): 1589-1615 doi: 10.3934/cpaa.2011.10.1589 +[Abstract](1066) +[PDF](3461.7KB)
A generalization of $H$-measures and application on purely fractional scalar conservation laws
Darko Mitrovic and Ivan Ivec
2011, 10(6): 1617-1627 doi: 10.3934/cpaa.2011.10.1617 +[Abstract](1306) +[PDF](398.2KB)
Long-time behavior of a Bose-Einstein equation in a two-dimensional thin domain
Brahim Alouini
2011, 10(6): 1629-1643 doi: 10.3934/cpaa.2011.10.1629 +[Abstract](949) +[PDF](418.1KB)
Solutions of a pure critical exponent problem involving the half-laplacian in annular-shaped domains
Antonio Capella
2011, 10(6): 1645-1662 doi: 10.3934/cpaa.2011.10.1645 +[Abstract](1006) +[PDF](434.0KB)
Unbounded solutions of the nonlocal heat equation
C. Brändle, E. Chasseigne and Raúl Ferreira
2011, 10(6): 1663-1686 doi: 10.3934/cpaa.2011.10.1663 +[Abstract](1006) +[PDF](461.7KB)
Self-adjoint, globally defined Hamiltonian operators for systems with boundaries
Nuno Costa Dias, Andrea Posilicano and João Nuno Prata
2011, 10(6): 1687-1706 doi: 10.3934/cpaa.2011.10.1687 +[Abstract](987) +[PDF](427.7KB)
Entire solutions with asymptotic behavior of fully nonlinear uniformly elliptic equations
Limei Dai
2011, 10(6): 1707-1714 doi: 10.3934/cpaa.2011.10.1707 +[Abstract](1106) +[PDF](314.6KB)
On the heat equation with concave-convex nonlinearity and initial data in weak-$L^p$ spaces
Lucas C. F. Ferreira and Elder J. Villamizar-Roa
2011, 10(6): 1715-1732 doi: 10.3934/cpaa.2011.10.1715 +[Abstract](1108) +[PDF](445.4KB)
Blow-up rates of large solutions for semilinear elliptic equations
Zhijun Zhang and Ling Mi
2011, 10(6): 1733-1745 doi: 10.3934/cpaa.2011.10.1733 +[Abstract](1278) +[PDF](385.0KB)
A Liouville comparison principle for solutions of singular quasilinear elliptic second-order partial differential inequalities
Bernd Kawohl and Vasilii Kurta
2011, 10(6): 1747-1762 doi: 10.3934/cpaa.2011.10.1747 +[Abstract](1124) +[PDF](417.4KB)
Theory of the NS-$\overline{\omega}$ model: A complement to the NS-$\alpha$ model
W. Layton, Iuliana Stanculescu and Catalin Trenchea
2011, 10(6): 1763-1777 doi: 10.3934/cpaa.2011.10.1763 +[Abstract](901) +[PDF](407.9KB)
Even solutions of the Toda system with prescribed asymptotic behavior
Yong Liu
2011, 10(6): 1779-1790 doi: 10.3934/cpaa.2011.10.1779 +[Abstract](1011) +[PDF](336.4KB)
A unified treatment using critical point methods of the existence of multiple solutions for superlinear and sublinear Neumann problems
D. Motreanu, Donal O'Regan and Nikolaos S. Papageorgiou
2011, 10(6): 1791-1816 doi: 10.3934/cpaa.2011.10.1791 +[Abstract](1050) +[PDF](502.0KB)
Nonexistence of nonconstant global minimizers with limit at $\infty$ of semilinear elliptic equations in all of $R^N$
Salvador Villegas
2011, 10(6): 1817-1821 doi: 10.3934/cpaa.2011.10.1817 +[Abstract](853) +[PDF](315.4KB)
A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures
Irena Pawłow and Wojciech M. Zajączkowski
2011, 10(6): 1823-1847 doi: 10.3934/cpaa.2011.10.1823 +[Abstract](1000) +[PDF](420.2KB)

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